Evaluate: ∫−π/4π/4log⁡(sin⁡x+cos⁡x)dx\text{Evaluate: } \int_{-\pi/4}^{\pi/4} \log(\sin x + \cos x) dx

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Evaluate: ∫−π/4π/4log⁡(sin⁡x+cos⁡x)dx\text{Evaluate: } \int_{-\pi/4}^{\pi/4} \log(\sin x + \cos x) dx

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